Wendy and Xylium went shopping. After Wendy spent $52
a, Xylium had 3 times as much as Wendy. If Wendy had $30
a more than Xylium at first,
- Express the amount of money that Wendy had at first in terms of a.
- If a = 25, find the amount of money that the two lady had left after shopping.
|
Wendy |
Xylium |
Before |
1 u + $52a |
3 u |
Change |
- $52a |
|
After |
1 u |
3 u |
(a)
1 u + 52
a = 3 u + 30
a3 u - 1 u = 52
a - 30
a2 u = 52
a - 30
a = 22
a1 u = 22
a ÷ 2 = 11
a Wendy's amount at first
= 1 u + 52
a = 11
a + 52
a = $63
a (b)
1 u + 3 u = 4 u
4 u = 4 x 11
a = 44
a Amount the two lady had left
= 44 x 25
= $1100
Answer(s): (a) $63
a; (b) $1100